A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

doi:10.1016/S0252-9602(12)60110-6

Abstract

Abstract:

When approximation order is an odd positive integer, a simple method is given to construct compactly supported orthogonal symmetric complex scaling function with dilation factor 3. Two corresponding orthogonal wavelets, one is symmetric and the other is antisymmetric about origin, are constructed explicitly. Additionally, when approximation order is an even integer 2, we also give a method to construct compactly supported orthogonal symmetric complex wavelets. In the end, there are several examples that illustrate the corresponding results.

Key words: orthogonal complex wavelets, approximation order, symmetry, scaling func-tion

CLC Number:

42C15

YANG Shou-Zhi, SHEN Yan-Feng, LI You-Fa. A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3[J].Acta mathematica scientia,Series B, 2012, 32(4): 1415-1425.

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